Why do you have to use estimation to find the number of triangles you need for the strength?

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To estimate the number of triangles needed for strength, you can use a process called dimensional analysis. This involves analyzing the different factors that contribute to the strength of a structure and making reasonable assumptions based on known values or established guidelines.

Here are the steps to estimate the number of triangles needed for strength:

1. Identify the main factors affecting the strength: In this case, the number of triangles is likely important because triangles are a stable geometric shape that can distribute forces evenly.

2. Determine known values or standards: If you have access to engineering guidelines or standards, they can provide insights into how many triangles are typically needed for strength in similar structures. If no such guidelines exist, you can use known values from previous designs or structures as a reference.

3. Analyze the structure: Examine the overall shape and design of the structure you're working with. Look for areas that are likely to experience high stress or load-bearing requirements.

4. Break down the structure into triangles: Try to identify sections of the structure that can be approximated as triangles. Triangular elements are often used in engineering because they are inherently stable and resist deformation well.

5. Estimate the number of triangles: Based on your analysis, estimate how many triangles you need in the structure to distribute the load evenly and ensure adequate strength. Consider factors like the material being used, the expected load, and any safety margins required by the design.

It is important to note that estimation is not a precise calculation, but rather an educated guess based on available information and engineering principles. The actual number of triangles needed for strength may vary based on the specific requirements of the structure and other complex factors.